Neuron dynamics and synchronous transition of symmetrical electrically coupled Sherman

Abstract

Based on the study of the synchronization of two electric synapse-coupled Sherman neuron systems, this paper analyzes the rich discharge behavior of Sherman neurons through the peak-to-peak interval bifurcation diagram, which determines the parameter values for the study of the electrical synapse coupling Sherman neuron system synchronization. By using the synchronization difference and the correlation coefficient value, this paper analyzes the synchronous transition process of the two electrical synapse-coupled Sherman neuron systems with the change of coupling intensity and studies the bifurcation behavior of neurons in the two electrical synapse-coupled Sherman neuron systems. The experimental results show the transition process of two electrical synapse-coupled Sherman neurons from nonsynchronized, peak-independent cluster synchronization to fully synchronized. In addition, we study the synchronization process of the ring-connected electrical synapse-coupled Sherman neuron system. The experimental results show that the two electrical synapse-coupled Sherman neuron systems show a similar synchronous transition process.

Synchronization coexistence in a Rulkov neural network based on locally active discrete memristor

“…The dynamic behaviors of two electric synapse-coupled Sherman neural networks and a ring-connected electrical synapse-coupled Sherman neuron network were studied in Ref. [31], and the results show that they have similar synchronization transition phenomena. An Aihara neural network coupled by electric synapses and the conditions for its complete synchronization were analyzed in Ref.…”